State-space based approximation methods for the harmonic retrieval problem in the presence of known signal poles

Author

Chen, Hua ; Huffel, Sabine Van ; Vandewalle, Joos

Author_Institution

Dept. of Electr. Eng., Katholieke Univ., Leuven, Belgium

Volume

5

fYear

1996

fDate

7-10 May 1996

Firstpage

2924

Abstract

In parameter estimation of closely-spaced sinusoids, prior knowledge of some known signal poles can be incorporated as done in the LCTLS-LP algorithm proposed by Dowling et al. (1992, 1994) and based on forward linear prediction and total least squares. In this paper, two better algorithms, HTLS-PK and HTLN-PK, derived respectively from Kung et al.´s (1983) state-space method using the TLS principle and the newly developed structured total least norm technique are presented that incorporate the same prior knowledge but clearly outperform the LCTLS-LP method in both resolution and parameter accuracy

Keywords

approximation theory; harmonic analysis; parameter estimation; poles and zeros; signal resolution; spectral analysis; state-space methods; HTLN-PK; HTLS-PK; TLS principle; closely-spaced sinusoids; harmonic retrieval problem; known signal poles; parameter accuracy; parameter estimation; resolution; state-space based approximation methods; structured total least norm technique; Approximation methods; Data mining; Ear; Equations; Least squares methods; Matrix decomposition; Nuclear magnetic resonance; Parameter estimation; Signal processing; State-space methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1996. ICASSP-96. Conference Proceedings., 1996 IEEE International Conference on

Conference_Location

Atlanta, GA

ISSN

1520-6149

Print_ISBN

0-7803-3192-3

Type

conf

DOI

10.1109/ICASSP.1996.550166

Filename

550166